Search a number
-
+
241330410 = 2325101139191
BaseRepresentation
bin11100110001001…
…10100011101010
3121211002212002100
432120212203222
5443240033120
635540314230
75660163126
oct1630464352
9554085070
10241330410
11114252122
12689a2976
133acc8579
14240a0586
15162c0490
hexe6268ea

241330410 has 96 divisors (see below), whose sum is σ = 641571840. Its totient is φ = 62928000.

The previous prime is 241330403. The next prime is 241330417. The reversal of 241330410 is 14033142.

241330410 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (241330403) and next prime (241330417).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (241330417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1263415 + ... + 1263605.

It is an arithmetic number, because the mean of its divisors is an integer number (6683040).

Almost surely, 2241330410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241330410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320785920).

241330410 is an abundant number, since it is smaller than the sum of its proper divisors (400241430).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

241330410 is a wasteful number, since it uses less digits than its factorization.

241330410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 241330410 is about 15534.8128408423. The cubic root of 241330410 is about 622.5926895414.

Adding to 241330410 its reverse (14033142), we get a palindrome (255363552).

It can be divided in two parts, 2413 and 30410, that added together give a palindrome (32823).

The spelling of 241330410 in words is "two hundred forty-one million, three hundred thirty thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 139 191 202 278 303 382 417 505 573 606 695 834 909 955 1010 1146 1251 1390 1515 1719 1818 1910 2085 2502 2865 3030 3438 4170 4545 5730 6255 8595 9090 12510 14039 17190 19291 26549 28078 38582 42117 53098 57873 70195 79647 84234 96455 115746 126351 132745 140390 159294 173619 192910 210585 238941 252702 265490 289365 347238 398235 421170 477882 578730 631755 796470 868095 1194705 1263510 1736190 2389410 2681449 5362898 8044347 13407245 16088694 24133041 26814490 40221735 48266082 80443470 120665205 241330410